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Finding the Fourth Proportional to 314,237.78, 471,357.62 and 77,580.48

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Solution

The fourth proportional to 314,237.78, 471,357.62 and 77,580.48 is: 116,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,237.78 : 471,357.62 = 77,580.48 : x
  2. Step 2: Convert to fraction form
    314,237.78/471,357.62 = 77,580.48/x
  3. Step 3: Cross multiply
    314,237.78x = 471,357.62 × 77,580.48
  4. Step 4: Simplify right side
    314,237.78x = 36,568,150,411.26
  5. Step 5: Solve for x
    x = 36,568,150,411.26/314,237.78
  6. Step 6: Final answer
    x = 116,370.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.